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Finding the Fourth Proportional to 502,107.66, 753,124.95 and 165,144.42

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Solution

The fourth proportional to 502,107.66, 753,124.95 and 165,144.42 is: 247,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,107.66 : 753,124.95 = 165,144.42 : x
  2. Step 2: Convert to fraction form
    502,107.66/753,124.95 = 165,144.42/x
  3. Step 3: Cross multiply
    502,107.66x = 753,124.95 × 165,144.42
  4. Step 4: Simplify right side
    502,107.66x = 124,374,383,055.28
  5. Step 5: Solve for x
    x = 124,374,383,055.28/502,107.66
  6. Step 6: Final answer
    x = 247,704.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.